My friend is clingy?

NOTE: I am asking this again as I didn't get many responses the first time around.

So, my best friend, her boyfriend, and I all went to dinner one night last week. I immediately noticed that something was off. They didn't really speak to me much, and they kept texting back and forth about something. Then while we were at the table, my friend texts me and says "I'm coming home with you, if that's okay." I told her that was fine, and when she got in the car she broke down, saying that her boyfriend had lied to her about something very important to her, and that they were on a break. She is supposedly giving him a few weeks so she can think it over. The next morning I checked in on her, and she said she was over it. It just makes me wonder if she'll consider taking him back, which doesn't really affect me either way, and I've told her that I'll support her decision no matter what. The only thing that kind of bothers me right now is that my friend doesn't know how to be alone, and has been SUPER clingy to me the past few days since she no longer has her boyfriend around. I just don't know how to help her, and it's kind of awkward trying to come up with something to say when all she wants to do is be with me because she doesn't really have anyone else. She's also been more... upfront I guess about my friendship with her, and has been more outspoken about my friendship and saying how much she appreciates me. Don't get me wrong, it's lovely to hear that, but before going on a break with her boyfriend, she NEVER would've said something like that to me. I guess my question is, how do I be there for her? Is there anything I need to do? I also am trying to be as non-invasive about her relationship as possible; if she wants to talk about it, I will. I just think I can't really give advice to her on it as I've never really been in a relationship, and she knows the situation better than I do. How can I help her?